Question

The fox population in a certain region has an annual growth rate of 6% per year. In the year 2012, there were 24,900 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.)

Answer 1

The fox population is predicted to be approximately 39,860 in the year 2020.

Step-by-step explanation:

To predict the fox population in the year 2020, we can use the formula for exponential growth:

P = P0 * (1 + r)^t

Where:

• P is the predicted population
• P0 is the initial population
• r is the growth rate (as a decimal)
• t is the number of years

In this case, P0 = 24,900, r = 0.06 (6% as a decimal), and t = 8 (2020 - 2012 = 8 years).

Plugging these values into the formula, we get:

P = 24,900 * (1 + 0.06)^8

Simplifying the equation gives us:

P ≈ 24,900 * 1.593848 = 39,860.35

Rounding to the nearest whole number, the fox population predicted to be in the year 2020 is approximately 39,860.

Learn more about Exponential growth

Answer 2

39,687

Step-by-step explanation:

Each year, the population is multiplied by (1 +6%) = 1.06. After 8 years, it will have been multiplied by that value 8 times, so is 1.06^8 times the starting value.

... 24,900 × 1.06^8 ≈ 39,687